Quantized fuzzy finite-Time control for nonlinear semi-markov switching systems

Wenhai Qi, Meng Gao, Choon Ki Ahn, Jinde Cao, Jun Cheng, Lihua Zhang

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

This brief considers quantized control for finite-Time synthesis of nonlinear semi-Markov switching systems (S-MSSs) via T-S fuzzy strategy. The stochastic phenomena of structural and parametric changes are modeled by the semi-Markov process, in which the sojourn-Time (ST) is deemed to obey a non-exponential distribution. Compared with previous works, the input quantization is firstly investigated for studying the finite-Time control via a logarithmic quantizer. A key issue under the consideration is how to design a fuzzy-model-based finite-Time control law in the presence of quantized error. For this purpose, by using the key point of Lyapunov function, the finite-Time boundedness (FTBs) performance is analyzed via establishing sojourn-Time-dependent sufficient conditions within a given finite-Time level. Then, the existence of a quantized controller is given in standard LMIs. Finally, an example for an electric circuit shows the effectiveness of the finite-Time control scheme.

Original languageEnglish
Article number8943166
Pages (from-to)2622-2626
Number of pages5
JournalIEEE Transactions on Circuits and Systems II: Express Briefs
Volume67
Issue number11
DOIs
Publication statusPublished - 2020 Nov

Bibliographical note

Funding Information:
Manuscript received November 8, 2019; accepted December 21, 2019. Date of publication December 25, 2019; date of current version November 4, 2020. This work was supported by the National Research Foundation of Korea through the Ministry of Science, ICT and Future Planning under Grant NRF-2017R1A1A1A05001325. This brief was recommended by Associate Editor D. Giaouris. (Corresponding author: Wenhai Qi.) Wenhai Qi, Meng Gao, and Lihua Zhang are with the School of Engineering, Qufu Normal University, Rizhao 276826, China (e-mail: qiwhtanedu@163.com; 18769341863@163.com; zhanglh72@126.com).

Publisher Copyright:
© 2004-2012 IEEE.

Keywords

  • Finite-Time boundedness
  • Lyapunov function
  • sojourn-Time

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

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